The Department of Mathematics invites you to the 25th Elisha Netanyahu Memorial Lecture to be presented by Professor Ronald R. Coifman of Yale University "Geometric Harmonic Analysis on High Dimensional Point Clouds" March 21, 17:00, Benjamin Auditorium (Sego 1) Sego Architecture Building Abstract: <http://www.math.technion.ac.il/Site/events/special-lectures/Netanyahu/abstract.pdf> Or just read it below: Website for Netanyahu Lectures: <http://www.math.technion.ac.il/Site/events/special-lectures/Netanyahu/> Poster for this lecture: <http://www.math.technion.ac.il/Site/events/special-lectures/Netanyahu/poster_final.pdf> Abstract: Over the last 60 years, harmonic analysts have focused on building special purpose geometries designed to illuminate the properties and analysis of complex linear operators. More recently, it has become apparent that much of the theory developed by mathematicians in the classical context, carries over to the organization of massive databases, viewed as point clouds in high dimensional Euclidean spaces or in matrices. In this talk we will provide a synthetic non-technical overview of a range of ideas from analysis, geometry, graph theory and machine learning, which address the transition from a local association model to a global configuration map (analogous to Newtonian calculus). We apply these ideas to organize and map out (in an automatic and purely data driven fashion) music databases of audio segments, psychological questionnaires, medical profiles, physical data, financial data, and text documents, as well as operator transforms. We will relate these methods to ideas from classical harmonic analysis and indicate tools to measure success of information extraction. In particular, we introduce methodologies that resemble signal processing on data matrices, which enable functional regression, prediction, denoising, compression, learning, and more. --------------------------------------------------------- Technion Math. Net (TECHMATH) Editor: Michael Cwikel <techm@math.technion.ac.il> Announcement from: cms <cms@math.technion.ac.il>